Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz

Abstract

In this article, using the notion of statistical convergence, we relax the hypotheses of the well-known theorems from classical complex analysis, such as Weierstrass’ Theorem, Montel’s Theorem and Hurwitz’s Theorem. So, we obtain more powerful results than the classical ones in complex analysis.

Keywords

• Statistical convergence,Weierstrass’ theorem,Montel’s theorem,Hurwitz’s theorem,2000 AMS Classification: Primary: 40 A 30; Secondary: 32 A 10

STRONG VERSIONS OF THE THEOREMS OF WEIERSTRASS, MONTEL AND HURWITZ

Abstract

References

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